Atkin-Lehner |
2- 5+ 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
51800k |
Isogeny class |
Conductor |
51800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
13056 |
Modular degree for the optimal curve |
Δ |
-323750000 = -1 · 24 · 57 · 7 · 37 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ 0 -4 -8 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8,-863] |
[a1,a2,a3,a4,a6] |
Generators |
[12:25:1] [32:175:1] |
Generators of the group modulo torsion |
j |
-256/1295 |
j-invariant |
L |
7.657158740387 |
L(r)(E,1)/r! |
Ω |
0.77929274837053 |
Real period |
R |
1.2282224421436 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103600l1 10360f1 |
Quadratic twists by: -4 5 |